Reachable set estimation and control for switched linear systems with dwell-time restriction

2016 ◽  
Author(s):  
Weiming Xiang ◽  
Hoang-Dung Tran ◽  
Taylor T. Johnson
Keyword(s):  
Linear Systems ◽  
Dwell Time ◽  
Reachable Set ◽  
Switched Linear Systems ◽  
Set Estimation ◽  
Estimation And Control ◽  
Reachable Set Estimation ◽  
Time Restriction ◽  
And Control

Reachable Set Estimation for Uncertain Linear Systems with Known Inputs

2020 ◽  
Vol 18 (10) ◽  
pp. 2445-2455
Author(s):  
Zhihao Zhang ◽  
Xinsheng Wang ◽  
Wenbo Xie ◽  
Xin Zhang ◽  
Yi Shen
Keyword(s):  
Linear Systems ◽  
Reachable Set ◽  
Set Estimation ◽  
Reachable Set Estimation ◽  
Uncertain Linear Systems

scholarly journals New Results on Reachable Set Estimation and Controller Design for Linear Systems with Mixed Delays via Triple Integral Functionals

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Wei Kang ◽  
Shouming Zhong
Keyword(s):  
Linear Systems ◽  
State Feedback ◽  
Controller Design ◽  
Reachable Set ◽  
Linear Matrix ◽  
Mixed Delays ◽  
Closed Loop System ◽  
Set Estimation ◽  
Reachable Set Estimation ◽  
Bounded Disturbance

This paper is concerned with the problem of reachable set estimation and controller design for a class of linear systems with mixed delays and bounded disturbance inputs. By constructing a newly augmented Lyapunov-Krasovskii functional, combining with triple integral technique and reciprocally convex approach, some new reachable set estimation conditions are derived in terms of linear matrix inequalities. Based on these conditions, a state-feedback controller has been designed to ensure the reachable set of the closed-loop system bounded by a given ellipsoid. Finally, two numerical examples are given to illustrate the effectiveness of the proposed analysis and designed method.

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